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gptkbp:instanceOf
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gptkb:group_of_people
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gptkbp:alsoKnownAs
|
gptkb:Artin–Tits_group
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|
gptkbp:application
|
gptkb:topology
geometric group theory
knot theory
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gptkbp:definedIn
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gptkb:Artin_presentation
|
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gptkbp:generalizes
|
braid group
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|
gptkbp:hasSpecialCase
|
gptkb:affine_Artin_group
gptkb:right-angled_Artin_group
gptkb:spherical_Artin_group
free abelian group (as a special case)
free group (as a special case)
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|
gptkbp:hasSubgroup
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gptkb:Weyl_group
|
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gptkbp:heldBy
|
finitely presented group
infinite group (in general)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Artin group
|
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gptkbp:introducedIn
|
1925
|
|
gptkbp:namedAfter
|
gptkb:Emil_Artin
|
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gptkbp:numberOfIssues
|
gptkb:K(π,1)_conjecture
gptkb:conjugacy_problem_(in_general)
word problem (in general)
|
|
gptkbp:presentedBy
|
generators and relations
|
|
gptkbp:referencedIn
|
gptkb:E._Artin,_Theorie_der_Zöpfe,_1925
Pierre Deligne, Les immeubles des groupes de tresses généralisés, 1972
|
|
gptkbp:relatedTo
|
braid group
Artin relations
|
|
gptkbp:studiedIn
|
group theory
|
|
gptkbp:bfsParent
|
gptkb:Weyl_group
gptkb:Group_theory
|
|
gptkbp:bfsLayer
|
5
|